So to clarify, using your instructions works on your Trisuel 8 system when you use "DISPLAY=:0"

This works (opens a new Abrowser window, even if one is already opened):
$ pkexec --user banana env DISPLAY=:0 XAUTHORITY=/home/banana/.Xauthority abrowser

This useless command (banana is currently logged in graphically) works as well for Sabrinakitty. But it does not work for her (I have not tested) when a different user (who is not root) is in argument of --user.

but gets the "Mir" error with "DISPLAY=:1"?

Yes (the output appears after I enter my password and press Enter):
$ pkexec --user banana env DISPLAY=:1 XAUTHORITY=/home/banana/.Xauthority abrowser Failed to connect to Mir: Failed to connect to server socket: No such file or directory
Unable to init server: Could not connect: Connection refused
Error: cannot open display: :1

Sorry for not having been clear in the first place.

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